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2 years ago

Someone please help I’m lost

Mathematics

2 answers:

luda_lava [24]2 years ago

4 0

It’s because it’s intersecting so WXY and ZYX are congruent

Mariana [72]2 years ago

3 0

$\qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star$

There is one angle and an adjacent side of the triangle given equal to corresponding angle and side of the other triangle and if we observe the figure we can see that there's also a adjacent side XY common in both the Triangles.

Hence, the two triangles are congruent by SAS congruency criteria.

$\qquad \large \sf {Conclusion} :$

SAS criteria

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Jamal deposits $1000 into a savings account on his 18th birthday. If the 2% interest is compounded yearly, how much will he have

dalvyx [7]

The number of years (n) that the deposit stayed in his balance is given by: 65 - 18 = 47 years.

The future value (FV) of a deposit (P), deposited at an interest rate of r% compounded yearly for n years is given by

$FV=P(1+r)^n$

Given that <span>Jamal deposits P = $1000 into a savings account on for n = 47years at 2% interest compounded yearly, the amount in his bank account at the end of the period is given by

$FV=1000(1+0.02)^{47} \\ \\ =1000(1.02)^{47}=1000(2.53634) \\ \\ =\$2,536.34$ </span>

8 0

3 years ago

What is the third angle of a right triangle if one of the angles measures 42.6

Llana [10]

Answer:

112

Step-by-step explanation:

lol not 100% sure

5 0

3 years ago

Read 2 more answers

What is the product?<br> 3 x [-4 5 -7]

Dima020 [189]

Answer:65

Step-by-step explanation: So the answers would be 78 as well

3 0

3 years ago

Which is the equation of the given line in slope intercept form (-1, 2) (1, -4)

Degger [83]

Answer:

y = -3x - 1

Step-by-step explanation:

y = mx + c

m = (-4-2)/(1-(-1)) = -6/2 = -3

y = -3x + c

When x = -1, y = 2

2 = -3(-1) + c

c = 2 - 3 = -1

y = -3x - 1

5 0

3 years ago

Can someone please explain how the answer is D

Kitty [74]

Step-by-step explanation:

Because the length of ST is calculated using pythagorean theorem:

${c}^{2} = {a}^{2} + {b}^{2}$

Where the square of the hypotenuse is equal to the sum of squares of the other two sides of a right triangle. In this case, the hypotenuse is ST and the other two sides are distances between S and T over the X and Y axis. Those are easily calculated:

$x = |sx - tx| \\ y = |sy - ty|$

Where x is the distance between S and T over X axis and Y distance over Y axis, sx and tx are X coordinates of S and T, sy and ty are Y coordinates of S and T.

Using that formula, you get that y = 17 and x = 8.

Back to the pythagorean theorem, if we put those number in the formula of the pythagorean theorem, we get something like this:

${c}^{2} = {x}^{2} + {y}^{2} \\ {c}^{2} = {8}^{2} + {17}^{2} = 64 + 289 \\ {c}^{2} = 353 \\ c = \sqrt{353}$

And finally, the correct answer is in fact 353.

3 0

3 years ago